Search a number
-
+
2303231440 = 24529699697
BaseRepresentation
bin1000100101001000…
…1000010111010000
312221111221021120011
42021102020113100
514204111401230
61020314124304
7111035100316
oct21122102720
95844837504
102303231440
11a82128964
12543420694
132a9236c53
1417bc700b6
15d730de2a
hex894885d0

2303231440 has 40 divisors (see below), whose sum is σ = 5357369160. Its totient is φ = 920887296.

The previous prime is 2303231429. The next prime is 2303231443. The reversal of 2303231440 is 441323032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 134652816 + 2168578624 = 11604^2 + 46568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303231443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232672 + ... + 242368.

It is an arithmetic number, because the mean of its divisors is an integer number (133934229).

Almost surely, 22303231440 is an apocalyptic number.

2303231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303231440 is an abundant number, since it is smaller than the sum of its proper divisors (3054137720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2303231440 is a wasteful number, since it uses less digits than its factorization.

2303231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679 (or 12673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2303231440 is about 47991.9934989160. The cubic root of 2303231440 is about 1320.6240238961.

Adding to 2303231440 its reverse (441323032), we get a palindrome (2744554472).

The spelling of 2303231440 in words is "two billion, three hundred three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2969 5938 9697 11876 14845 19394 23752 29690 38788 47504 48485 59380 77576 96970 118760 155152 193940 237520 387880 775760 28790393 57580786 115161572 143951965 230323144 287903930 460646288 575807860 1151615720 2303231440